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21200101020020 = 22513734312591579
BaseRepresentation
bin1001101001000000010000…
…11111011001000101110100
32210001201011111020222001102
410310200020133121011310
510234320301330120040
6113031105243545232
74315441160255636
oct464401037310564
983051144228042
1021200101020020
116833a04381a4a
12246487ab2b218
13baa2127ab5b0
14534139d60a56
1526b6e3878515
hex1348087d9174

21200101020020 has 96 divisors (see below), whose sum is σ = 48714406110720. Its totient is φ = 7702584468480.

The previous prime is 21200101020019. The next prime is 21200101020037. The reversal of 21200101020020 is 2002010100212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21200101019983 and 21200101020010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6884591 + ... + 9476169.

It is an arithmetic number, because the mean of its divisors is an integer number (507441730320).

Almost surely, 221200101020020 is an apocalyptic number.

21200101020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21200101020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24357203055360).

21200101020020 is an abundant number, since it is smaller than the sum of its proper divisors (27514305090700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21200101020020 is a wasteful number, since it uses less digits than its factorization.

21200101020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592105 (or 2592103 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 21200101020020 its reverse (2002010100212), we get a palindrome (23202111120232).

The spelling of 21200101020020 in words is "twenty-one trillion, two hundred billion, one hundred one million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 73 130 146 260 292 365 431 730 862 949 1460 1724 1898 2155 3796 4310 4745 5603 8620 9490 11206 18980 22412 28015 31463 56030 62926 112060 125852 157315 314630 409019 629260 818038 1636076 2045095 2591579 4090190 5183158 8180380 10366316 12957895 25915790 33690527 51831580 67381054 134762108 168452635 189185267 336905270 378370534 673810540 756741068 945926335 1116970549 1891852670 2233941098 2459408471 3783705340 4467882196 4918816942 5584852745 9837633884 11169705490 12297042355 14520617137 22339410980 24594084710 29041234274 49188169420 58082468548 72603085685 81538850077 145206171370 163077700154 290412342740 326155400308 407694250385 815388500770 1060005051001 1630777001540 2120010102002 4240020204004 5300025255005 10600050510010 21200101020020